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Simplifying 8.25t + 7 = 19.5t + 16 Reorder the terms: 7 + 8.25t = 19.5t + 16 Reorder the terms: 7 + 8.25t = 16 + 19.5t Solving 7 + 8.25t = 16 + 19.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19.5t' to each side of the equation. 7 + 8.25t + -19.5t = 16 + 19.5t + -19.5t Combine like terms: 8.25t + -19.5t = -11.25t 7 + -11.25t = 16 + 19.5t + -19.5t Combine like terms: 19.5t + -19.5t = 0.0 7 + -11.25t = 16 + 0.0 7 + -11.25t = 16 Add '-7' to each side of the equation. 7 + -7 + -11.25t = 16 + -7 Combine like terms: 7 + -7 = 0 0 + -11.25t = 16 + -7 -11.25t = 16 + -7 Combine like terms: 16 + -7 = 9 -11.25t = 9 Divide each side by '-11.25'. t = -0.8 Simplifying t = -0.8
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